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Amplification arguments for large sieve inequalities

Research paper by E. Kowalski

Indexed on: 17 Apr '10Published on: 17 Apr '10Published in: Archiv der Mathematik



Abstract

We give a new proof of the arithmetic large sieve inequality based on an amplification argument, and use a similar method to prove a new sieve inequality for classical holomorphic cusp forms. A sample application of the latter is also given.